What is the Greatest Common Factor of 37890 and 37900?

Greatest common factor (GCF) of 37890 and 37900 is 10.

GCF(37890,37900) = 10

We will now calculate the prime factors of 37890 and 37900, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37890 and 37900.

How to find the GCF of 37890 and 37900?

We will first find the prime factorization of 37890 and 37900. After we will calculate the factors of 37890 and 37900 and find the biggest common factor number .

Step-1: Prime Factorization of 37890

Prime factors of 37890 are 2, 3, 5, 421. Prime factorization of 37890 in exponential form is:

37890 = 2¹ × 3² × 5¹ × 421¹

Step-2: Prime Factorization of 37900

Prime factors of 37900 are 2, 5, 379. Prime factorization of 37900 in exponential form is:

37900 = 2² × 5² × 379¹

Step-3: Factors of 37890

List of positive integer factors of 37890 that divides 37890 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 421, 842, 1263, 2105, 2526, 3789, 4210, 6315, 7578, 12630, 18945

Step-4: Factors of 37900

List of positive integer factors of 37900 that divides 37890 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 379, 758, 1516, 1895, 3790, 7580, 9475, 18950

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37890 and 37900. The biggest common factor number is the GCF number.
So the greatest common factor 37890 and 37900 is 10.

Also check out the Least Common Multiple of 37890 and 37900